Least Common Multiple of 25/924, 5802/6996

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 25/924, 5802/6996 quickly i.e. 145050/132 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 25/924, 5802/6996 is 145050/132.

LCM(25/924, 5802/6996) = 145050/132

LCM of 25/924, 5802/6996

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Least Common Multiple of 25/924,5802/6996

Given numbers are 25/924,5802/6996

Formula to find LCM of Fractions is

LCM = LCM of Numerators/GCF of Denominators

As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators

In the given fractions LCM of Numerators means LCM of 25,5802

Least Common Multiple of Numerators i.e. LCM of 25,5802 is 145050.

GCF of Denominators means GCF of 924,6996 as per the given fractions.

GCF of 924,6996 is 132 as it is the largest common factor for these numbers.

Lets's calculate LCM of 25,5802

LCM of Fractions 25/924,5802/6996 is 145050/132

Given numbers has no common factors except 1. So, there LCM is their product i.e 145050

Least Common Multiple of 25,5802 with GCF Formula

Least Common Multiple of 25,5802 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 25,5802 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(25,5802) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(25,5802) x common factors =1 x 1 = 1

LCM(25,5802) = ( 25 × 5802 ) / 1

LCM(25,5802) = 145050 / 1

LCM(25,5802) = 145050


Lets's calculate GCF of 924,6996

2 924, 6996
2 462, 3498
3 231, 1749
11 77, 583
7, 53

∴ So the GCF of the given numbers is 2 x 2 x 3 x 11 = 132

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 145050/132

Therefore the LCM of Fractions 25/924,5802/6996 is 145050/132

Greatest Common Factor of 924,6996 By Matching Biggest Common Factor Method

Greatest Common Factor of 924,6996 By Matching Biggest Common Factor Method

Factors of 924

List of positive integer factors of 924 that divides 924 without a remainder.

1,2,3,4,6,7,11,12,14,21,22,28,33,42,44,66,77,84,132,154,231,308,462,924

Factors of 6996

List of positive integer factors of 6996 that divides 6996 without a remainder.

1,2,3,4,6,11,12,22,33,44,53,66,106,132,159,212,318,583,636,1166,1749,2332,3498,6996

Greatest Common Factor

We found the factors 924,6996 . The biggest common factor number is the GCF number.
So the greatest common factor 924,6996 is 132.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 25/924, 5802/6996

1. How to find LCM in Fractions?

Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.

2. What is the LCM of Fractions for 25/924, 5802/6996?

Answer: LCM of Numerators as per given numbers 25/924, 5802/6996 is

LCM of Numerators i.e. for 25,5802 is 145050

GCF of denominators i.e. for 924,6996 is 132.

Thus, LCM of Fractions is 145050/132.Finally, LCM of Fractions for 25/924, 5802/6996 is 145050/132.